4-dimensional locally \(\mathrm{CAT}(0)\)-manifolds with no Riemannian smoothings

DOI10.1215/00127094-1507259zbMath1237.57015arXiv1002.4235OpenAlexW2951854291WikidataQ115240694 ScholiaQ115240694MaRDI QIDQ662415

Michael W. Davis, Jean-François Lafont, Tadeusz Januszkiewicz

Publication date: 22 February 2012

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4235

zbMATH Keywords

4-dimensional manifoldCAT(0)-metric

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) General geometric structures on low-dimensional manifolds (57M50) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (6)

Obstructions to nonpositive curvature for open manifolds ⋮ An obstruction to the smoothability of singular nonpositively curved metrics on 4-manifolds by patterns of incompressible tori ⋮ Relatively hyperbolic Coxeter groups with maximal flats of codimension one ⋮ Non-aspherical ends and non-positive curvature ⋮ Enlargeable length-structure and scalar curvatures ⋮ Asymptotic topological regularity of \(\mathrm{CAT}(0)\) spaces

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